Grade 7 Math Quiz
Practice Grade 7 math questions about rational numbers, expressions, equations, percentages, proportional relationships, geometry, probability, and data. Use hints when needed, choose an answer, and review the explanation after each question.
Simplify: 5x - 2x + 7
Solve for x: 3x + 4 = 22
What is 30% of 150?
A recipe uses 2 cups of flour for 5 cookies. How many cups of flour are needed for 20 cookies?
Find the unit rate: 180 miles in 3 hours.
A triangle has angles 55° and 70°. What is the third angle?
What is the area of a circle with radius 5? Use π = 3.14.
A bag contains 4 yellow, 6 black, and 5 white counters. What is the probability of choosing a black counter?
Find the median of the data set: 18, 12, 25, 20, 15, 30, 10.
Your result
You answered 0 out of 10 questions correctly.
Grade 7 math is where separate skills start behaving like one connected system
This quiz moves through rational numbers, expressions, equations, percent, proportional relationships, unit rates, triangle angles, circle area, probability, and median. Instead of treating those as ten unrelated topics, Grade 7 is a good point to start asking: what relationship is this problem testing?
Signed numbers make direction part of the calculation
The recipe problem and the unit-rate problem are two versions of the same proportional idea
Grade 7 proportional reasoning becomes much easier when you can move between a scale factor and a per-one-unit rate.
Scale factor: recipe
2 cups make 5 cookies. Going from 5 cookies to 20 cookies multiplies the amount by 4.
Unit rate: travel
180 miles in 3 hours becomes a per-one-hour rate by dividing both quantities by 3.
Simplify what is already written
There is no equals sign, so there is no unknown value to solve for.
Undo operations to isolate x
An equation gives a balance condition. Every transformation must preserve that balance.
Two geometry questions, two very different invariants
For a triangle, the fixed fact is the angle sum. For a circle, the relationship is built into the area formula.
Triangle angle sum
Circle area
Median is about position after sorting
The original order is irrelevant. Once sorted, the center value is visible.
Probability is favorable outcomes over the relevant total
There are 6 black counters out of 15 counters altogether.
Reverse the percent question instead of only finding “30% of 150”
A stronger version asks: 45 is 30% of what number? This turns a direct percentage calculation into an equation.
Review by skill cluster, not just by total score
A score of 7/10 can mean very different things. The useful question is which kind of relationship caused the mistakes?